Almost all researchers who engage in hypothesis testing
have been taught that it is improper to conclude that a null hypothesis
is true simply because the hypothesis testing procedure leads to a fail-to-reject
decision. Nevertheless, many of these same researchers use language
in
their research reports suggesting that they have completely forgotten
that a fail-to-reject decision does not logically permit one to leave
a study believing that the tested Ho is
true. In your review of studies that utilize two-way ANOVAs (or, for
that
matter, any procedure for testing null hypotheses), remain vigilant to
erroneous statements as to what a nonsignificant finding means.